A051115 - OEIS

A051115

Number of monotone Boolean functions of n variables with 7 mincuts.

0, 0, 0, 0, 0, 490, 1308270, 1085660748, 483349680164, 147791677696350, 35419166732721930, 7189973830216081696, 1298090729995668204288, 215276329320562758744210, 33531967207612008887673350

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,6

REFERENCES

J. L. Arocha, Antichains in ordered sets, (in Spanish) An. Inst. Mat. UNAM, vol. 27, 1987, 1-21.

V. Jovovic and G. Kilibarda, On the number of Boolean functions in the Post classes F^{mu}_8, Diskretnaya Matematika, 11 (1999), no. 4, 127-138 (translated in Discrete Mathematics and Applications, 9, (1999), no. 6)

V. Jovovic, G. Kilibarda, On enumeration of the class of all monotone Boolean functions, Belgrade, 1999, in preparation.

LINKS

Table of n, a(n) for n=0..14.

K. S. Brown, Dedekind's Problem

Vladeta Jovovic, Illustration for A016269, A047707, A051112-A051118

Goran Kilibarda and Vladeta Jovovic, Antichains of Multisets, J. Integer Seqs., Vol. 7, 2004.

Index entries for sequences related to Boolean functions

CROSSREFS

Cf. A016269, A047707, A051112, A051113, A051114, A051116, A051117, A051118.

Sequence in context: A303556 A056936 A056052 * A273809 A060975 A180457

Adjacent sequences: A051112 A051113 A051114 * A051116 A051117 A051118

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Goran Kilibarda, Zoran Maksimovic

STATUS

approved